MHB Help with this calculus problem.

[JWelford]

\[\int_{-\infty}^{-0.4088}e^{-u^2/2} \,du\]

Sorry i just can't seem to get these equations to actually display properly

 

[Ackbach]

This integral does not have an elementary antiderivative, which means the Fundamental Theorem of the Calculus is not available to you. You're best off doing it numerically. This integral is highly related to standard normal tables (it's not quite there, but you could multiply by a $1/\sqrt{2\pi}$ to get it into a standard form). Then just look the value up in a table.